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Simplifying -3(k + 3) + -1(9 + -8k) = 4k Reorder the terms: -3(3 + k) + -1(9 + -8k) = 4k (3 * -3 + k * -3) + -1(9 + -8k) = 4k (-9 + -3k) + -1(9 + -8k) = 4k -9 + -3k + (9 * -1 + -8k * -1) = 4k -9 + -3k + (-9 + 8k) = 4k Reorder the terms: -9 + -9 + -3k + 8k = 4k Combine like terms: -9 + -9 = -18 -18 + -3k + 8k = 4k Combine like terms: -3k + 8k = 5k -18 + 5k = 4k Solving -18 + 5k = 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -18 + 5k + -4k = 4k + -4k Combine like terms: 5k + -4k = 1k -18 + 1k = 4k + -4k Combine like terms: 4k + -4k = 0 -18 + 1k = 0 Add '18' to each side of the equation. -18 + 18 + 1k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1k = 0 + 18 1k = 0 + 18 Combine like terms: 0 + 18 = 18 1k = 18 Divide each side by '1'. k = 18 Simplifying k = 18
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